For question 1, find the absolute maximum and minimum over the following intervals. (a) [−3,11] (b) (−8,13] (c) (−7,14) 1. Let f(x)=x 3
−9x 2
−48x+50 (a) Find the local maximum and minimum and justify your answer using the first derivative test. (b) Repeat (a) and justify your answer using the second derivative test. 2. For question 1 , (a) Find the point(s) of inflection. (b) Find the the interval(s) where f(x) is both increasing and concave down. (Justify your answers!) For question 1 , find the absolute maximum and minimum over the following intervals. (a) [−3,11] (b) (−8,13] (c) (−7,14)